Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600i |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-1526343750000 = -1 · 24 · 36 · 59 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1575,-64125] |
[a1,a2,a3,a4,a6] |
Generators |
[55:125:1] [91:739:1] |
Generators of the group modulo torsion |
j |
-2370816/8375 |
j-invariant |
L |
11.724317147585 |
L(r)(E,1)/r! |
Ω |
0.34774880978527 |
Real period |
R |
4.2143627893791 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999961668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13400m1 24120s1 |
Quadratic twists by: -3 5 |